• Title/Summary/Keyword: algebraic and differential

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MDS code Creation Confirmation Algorithms in Permutation Layer of a Block Cipher (블록 암호에서 교환 계층의 MDS 코드 생성 확인 알고리즘)

  • 박창수;조경연
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.7
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    • pp.1462-1470
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    • 2003
  • According to the necessity about information security as well as the advance of IT system and the spread of the Internet, a variety of cryptography algorithms are being developed and put to practical use. In addition the technique about cryptography attack also is advanced, and the algorithms which are strong against its attack are being studied. If the linear transformation matrix in the block cipher algorithm such as Substitution Permutation Networks(SPN) produces the Maximum Distance Separable(MDS) code, it has strong characteristics against the differential attack and linear attack. In this paper, we propose a new algorithm which cm estimate that the linear transformation matrix produces the MDS code. The elements of input code of linear transformation matrix over GF$({2_n})$ can be interpreted as variables. One of variables is transformed as an algebraic formula with the other variables, with applying the formula to the matrix the variables are eliminated one by one. If the number of variables is 1 and the all of coefficient of variable is non zero, then the linear transformation matrix produces the MDS code. The proposed algorithm reduces the calculation time greatly by diminishing the number of multiply and reciprocal operation compared with the conventional algorithm which is designed to know whether the every square submatrix is nonsingular.

Comparative Study on DAE Solution Methods for Effective Multi-Body Dynamics Analysis of Unmanned Military Robot Based on Subsystem Synthesis Method (무인 국방 로봇의 효과적인 다물체 동역학 해석을 위한 부분시스템 합성방법 기반 DAE 해석 기법 비교 연구)

  • Kim, Myoung Ho;Kim, Sung-Soo;Yun, Hong-Seon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1069-1075
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    • 2013
  • An effective method is necessary for the real-time analysis of an unmanned military robot. To achieve highly efficient simulations, a subsystem synthesis method has been developed. The subsystem synthesis method separately generates equations of motion for the base body and for the subsystem. The equations of motion are expressed by DAE, which consist of differential equations and algebraic equations. To increase the accuracy and efficiency of solutions, DAE solvers such as the Direct, CS (Constraint Stabilization), and GCP (Generalized Coordinate Partitioning) method are employed. In this study, the subsystem synthesis method is applied for effective multi-body dynamics analysis of an unmanned military robot, and a comparative study of three different DAE solvers is carried out.

Analysis for A Partial Distribution Loaded Orthotropic Rectangular Plate with Various Boundary Condition (다양한 경계조건에서 부분 분포 하중을 받는 이방성 사각평판 해석)

  • See, Sangkwang
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.22 no.5
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    • pp.13-22
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    • 2018
  • In this study, a governing differential equation for the bending problem of orthotropic rectangular plate is drived. It's exact solution for various boundary conditions is presented. This solution follows traditional method like Navier's solution or Levy's solution that transforms the governing differential equation into an algebraic equation by using trigonometric series. To obtain a solution by Levy's method, it is required that two opposite edges of the plate be simply supported. And the boundary conditions, for which the Navier's method is applicable, are simply supported edge at all edges. In this study, it overcomes the limitations of the previous Navier's and Levy's methods.This solution is applicable for any combination of boundary conditions with simply supported edge and clamped edge in x, y direction. The plate could be subjected to uniform, partially uniform, and line loads. The advantage of the solution is that it is the exact solution as well as it overcomes the limitations of the previous Navier's and Levy's methods. Calculations are presented for orthotropic plates with nonsymmetric boundary conditions. Comparisons between the result of this paper and the result of Navier, Levy and Szilard solutions are made for the isotropic plates. The deflections were in excellent agreement.

An Efficient Method for Estimating Optimal Path of Secondary Variable Calculation on CFD Applications (전산유체역학 응용에서의 효율적인 최적 2차 변수 계산 경로 추정 기법)

  • Lee, Joong-Youn;Kim, Min Ah;Hur, Youngju
    • The Journal of the Korea Contents Association
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    • v.16 no.12
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    • pp.1-9
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    • 2016
  • Computational Fluid Dynamics(CFD) is a branch of fluid mechanics that solves partial differential equations which represent fluid flows by a set of algebraic equations using computers. Even though it requires multifarious variables, only selected ones are stored because of the lack of storage capacity. It causes the requirement of secondary variable calculations at analyzing time. In this paper, we suggest an efficient method to estimate optimal calculation paths for secondary variables. First, we suggest a converting technique from a dependency graph to a ordinary directed graph. We also suggest a technique to find the shortest path from any initial variables to target variables. We applied our method to a tool for data analysis and visualization to evaluate the efficiency of the proposed method.

Multiscale Modeling and Simulation of Direct Methanol Fuel Cell (직접메탄올 연료전지의 Multiscale 모델링 및 전산모사)

  • Kim, Min-Su;Lee, Young-Hee;Kim, Jung-Hwan;Kim, Hong-Sung;Lim, Tae-Hoon;Moon, Il
    • Membrane Journal
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    • v.20 no.1
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    • pp.29-39
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    • 2010
  • This study focuses on the modeling of DMFC to predict the characteristics and to improve its performance. This modeling requires deep understanding of the design and operating parameters that influence on the cell potential. Furthermore, the knowledge with reference to electrochemistry, transport phenomena and fluid dynamics should be employed for the duration of mathematical description of the given process. Considering the fact that MEA is the nucleus of DMFC, special attention was made to the development of mathematical model of MEA. Multiscale modeling is comprised of process modeling as well as a computational fluid dynamics (CFD) modeling. The CFD packages and process simulation tools are used in simulating the steady-state process. The process simulation tool calculates theelectrochemical kinetics as well as the change of fractions, and at the same time, CFD calculates various balance equations. The integrated simulation with multiscal modeling explains experimental observations of transparent DMFC.

LES Investigation on The Cryogenic Nitrogen Injection of Swirl Injector Under Supercritical Envionment (초임계 환경에서 와류형 분사기의 극저온 질소 분사 LES 연구)

  • Kang, JeongSeok;Heo, JunYoung;Sung, Hong-Gye;Yoon, YoungBin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.4
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    • pp.343-351
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    • 2016
  • Cryogenic spray characteristics of a nitrogen swirl injector operating in supercritical environment have been numerically investigated. By comparing the equation of states(EOS) used for supercritical condition, SRK EOS was applied to predict the nitrogen thermodynamic property under supercritical environment. A Chung's method was implemented for the calculation of viscosity and conductivity and Takahashi's correlation based on Fuller's Theorem was implemented for the calculation of diffusion coefficient. By injecting the nitrogen with 5 bar differential pressure into 50 bar chamber filled with nitrogen, numerical simulation has been conducted. The dynamic Smagorinsky sub-grid scale (SGS) model has been compared with the algebraic Smagorinsky SGS model using FFT frequency analysis. The instability at the liquid film and gas core inside injector and the propagation of pressure oscillation into the injector has been investigated. The spreading angle of swirl injector obtained by numerical calculation has been validated with experimental result.